Framed curves in the Euclidean space
Article Properties
-
LanguageEnglish
-
DOI (url)
-
Publication Date2016/06/28
-
Journal
-
Indian UGC (journal)
-
Refrences10
-
Citations46
-
Shun’ichi Honda Department of Mathematics, Hokkaido University, Sapporo 060-0810, Japan
-
Masatomo Takahashi Muroran Institute of Technology, Muroran 050-8585, Japan
Abstract
Cite
Honda, Shun’ichi, and Masatomo Takahashi. “Framed Curves in the Euclidean Space”. Advances in Geometry, vol. 16, no. 3, 2016, pp. 265-76, https://doi.org/10.1515/advgeom-2015-0035.
Honda, S., & Takahashi, M. (2016). Framed curves in the Euclidean space. Advances in Geometry, 16(3), 265-276. https://doi.org/10.1515/advgeom-2015-0035
Honda, Shun’ichi, and Masatomo Takahashi. “Framed Curves in the Euclidean Space”. Advances in Geometry 16, no. 3 (2016): 265-76. https://doi.org/10.1515/advgeom-2015-0035.
Honda S, Takahashi M. Framed curves in the Euclidean space. Advances in Geometry. 2016;16(3):265-76.
Journal Category
Science
Mathematics
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Existence and uniqueness for Legendre curves | Journal of Geometry |
| 45 | 2013 |
| There is More than One Way to Frame a Curve | The American Mathematical Monthly |
| 266 | 1975 |
| Certain Cases in Which the Vanishing of the Wronskian is a Sufficient Condition for Linear Dependence | Transactions of the American Mathematical Society |
| 10 | 1901 |
| A condition equivalent to linear dependence for functions with vanishing Wronskian | Linear Algebra and its Applications |
| 8 | 1989 |
| V. I. Arnol’d, Singularities of caustics and wave fronts, volume 62 of Mathematics and its Applications (Soviet Series). Kluwer 1990. MR1151185 (93b:58019) Zbl 0734.53001 |
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
Circular evolutes and involutes of spacelike framed curves and their duality relations in Minkowski 3-space | AIMS Mathematics | 2024 | ||
Generalized osculating‐type ruled surfaces of singular curves | Mathematical Methods in the Applied Sciences |
| 3 | 2023 |
On (contra)pedals and (anti)orthotomics of frontals in de Sitter 2‐space | Mathematical Methods in the Applied Sciences |
| 14 | 2023 |
| Pedal and Contrapedal Curves of Framed Immersions in the Euclidean 3-Space | Mediterranean Journal of Mathematics |
| 1 | 2023 |
| Bertrand and Mannheim curves of framed curves in the 4-dimensional Euclidean space | Journal of Geometry |
| 1 | 2023 |
Citations Analysis
The category
Science: Mathematics 33
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled RECENT PROGRESS IN JAPAN IN THE FIELD OF THE SCIENCE OF METALS. (II) and was published in 1930. The most recent citation comes from a 2024 study titled Circular evolutes and involutes of spacelike framed curves and their duality relations in Minkowski 3-space. This article reached its peak citation in 2023, with 14 citations. It has been cited in 26 different journals, 15% of which are open access. Among related journals, the Mathematical Methods in the Applied Sciences cited this research the most, with 7 citations. The chart below illustrates the annual citation trends for this article.